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Structural LES modeling using a high-order spectral difference scheme for unstructured meshes

DOI: 10.1615/ICHMT.2012.ProcSevIntSympTurbHeatTransfPal.840
pages 775-786

G. Lodato
Department of Aeronautics & Astronautics, Stanford University, Durand Building, 496 Lomita Mall, Stanford, CA 94305-4035

P. Castonguay
Department of Aeronautics & Astronautics, Stanford University, Durand Building, 496 Lomita Mall, Stanford, CA 94305-4035

A. Jameson
Department of Aeronautics & Astronautics, Stanford University, Durand Building, 496 Lomita Mall, Stanford, CA 94305-4035

Sinopsis

The combination of the high-order unstructured Spectral Difference (SD) spatial discretization scheme with Sub-Grid Scale (SGS) modeling for Large-Eddy Simulation (LES) was investigated with particular focus on the implementation of similarity mixed formulations. A new class of constrained discrete filters to be used with the SD scheme were developed. The novel discrete filters can be applied to any SGS model involving explicit filtering and to a broad class of high-order discontinuous Finite Element (FE) numerical schemes. The code was validated on turbulent channel flow at different Reynolds numbers, and results were compared against Direct Numerical Simulation (DNS). The numerical experiments suggest that the results are sensitive to the use of the SGS model, even when high-order numerical schemes are used, especially when the grid resolution is kept relatively low, and mostly in terms of resolved Reynolds stresses. The use of a simple wall-modeling strategy in conjunction with the SGS model is also reported.

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